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How to learn Grade 2: Mathematics

Tennessee academic standards: Mathematics, Grade 2

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1. Grade 2 · Reason about shapes and their attributes.

  1. Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
  2. Splitting shapes into equal parts (age 7+): Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape
  3. Rows & Columns in Rectangles: Partition a rectangle into rows and columns of same-size squares and count to find the total number of them
  4. Angles in triangles (age 7+): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes

2. Grade 2 · Represent and interpret data.

  1. Picture & Bar Graphs: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
  2. Representing numbers with objects (age 8+): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables
  3. Measuring & Plotting Lengths: Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot

3. Grade 2 · Work with time and money.

  1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  2. Telling Time: Minutes: Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times
  3. Telling time to the minute (age 7+): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation

4. Grade 2 · Relate addition and subtraction to length.

  1. Numbers on a number line: Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram
  2. Addition and subtraction word problems: Solve word problems involving lengths within 100, using addition and subtraction with drawings and equations

5. Grade 2 · Measure and estimate lengths in standard units.

  1. Measuring length (age 7+): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
  2. Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
  3. Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
  4. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres

6. Grade 2 · Use place value understanding and properties of operations to add and subtract.

  1. Place value understanding and number facts: Use place value understanding and number facts to solve problems
  2. Fluent adding and subtracting within 100: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction
  3. Addition and subtraction within 1000: Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
  4. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

7. Grade 2 · Understand place value.

  1. Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
  2. The three digits of a three-digit number: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
  3. Reading and writing numbers to 1000: Read and write numbers to 1000 in numerals, number names, and expanded form
  4. Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000

8. Grade 2 · Solve problems involving addition and subtraction and identify and explain patterns in arithmetic.

  1. Two-step addition and subtraction problems: Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

9. Grade 2 · Work with equal groups of objects to gain foundations for multiplication.

  1. Arrays for multiplication (age 7+): Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends
  2. Odd or Even: Determine whether a group of objects (up to 20) has an odd or even number of members

10. Grade 2 · Add and subtract within 30.

  1. Fluent adding and subtracting within 20: Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers

11. Grade 2 · Represent and solve problems involving addition and subtraction.

  1. Two-Step Word Problems: Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions